Maths in Daily

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    1. MATHEMATICS IN DAILY LIFE

    2. ABSTRACTINTRODUCTION - MATHS IN NATURE -MATHS

    HELP OUR LIVES - MATHS INENGINEERING - GEOMETRY IN CIVIL

    -MATHS IN MEDICINE - MATHS INBIOLOGY - MATHS IN MUSIC -

    MATHS INFORENSIC - CONCLUSION.

    3. INTRODUCTION What use is maths in everyday life? "Maths is

    all around us, its everywhere we go". Its a lyric that could so easily have

    been sung by Wet Wet Wet. It may not have made it onto the Four

    Weddings soundtrack, but it certainly would have been profoundly true. Not

    only does maths underlie every process and pattern that occurs in the

    world around us, but having a good understanding of it will help

    enormously in everyday life. Being quick at mental arithmetic will save you

    pounds in the supermarket, and a knowledge of statistics will help you see

    through the baloney in television adverts or newspaper articles, and to

    understand the torrent of information youll hear about your local football

    team.

    4. MATHS IN NATURE

    5. HEXAGON IN NATUREA honeycomb is an array of hexagonal

    (six- sided) cells, made of wax produced by worker bees. Hexagons fit

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    9. A globe is a good example of rotational symmetry in a three-

    dimensional object. The globe keeps its shape as it is turned on its stand

    around an imaginary line between the north and south poles. The globe

    shown here dates from the late 15th or early 16th century and is one of the

    earliest three-dimensional representations of the surface of the Earth. It

    can be found in the Historical Academy in Madrid.

    10. UNDERSTANDING PERCENTAGE

    Using money is a good way of understanding percentages. As

    there are 100 pence in 1, one hundredth of 1 is therefore 1 pence,

    meaning that 1 per cent of 1 is 1 pence. From this we can calculate that

    50 per cent of 1 is 50 pence. This photograph shows three British

    currency notes: a 5 note, a 10 note and a 20 note. If 50 pence is 50 per

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    cent of 1, then 5 is 50 per cent of 10, and so 10 is 50 per cent of

    20.11.

    12. DECIMAL CALCULATOR

    13. A pocket calculator is one way in which decimals are used in

    everyday life. The value of each digit shown is determined by its place in

    the entire row of numbers on the screen. In this photograph, the 7 is worth700 (seven hundreds), the 8 is worth 80 (eight tens) and the 6 is worth 6

    (six ones).

    14. SYMMETRY IN TOWER

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    15. MATHS HELPING OUR LIVES

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    The newspaper found that the difference can be as much as 30%.

    The supermarket chains may be exploiting the assumption people have

    that buying in bulk is cheaper, but if you work it out quickly in your head

    youll never be caught out. An article in the Sunday Times in June 2004

    revealed the fact that you cant even assume that buying larger bags of

    exactly the same pasta would work out cheaper. It said that in many of the

    supermarkets buying in bulk, for example picking up a six-pack of beer

    rather than six single cans, was in fact more expensive.16.

    17. SPOTTING DODGY STATISTICSHow many adverts have

    youheard that make some claimsuch as "8 out of 10 womenprefer our

    shampoo to their oldone"? Did those enthusiaststhink it was greatly better,

    ornot really much of a difference?What about the other 20%?They might

    have absolutelyhated it because it made alltheir hair fall out! And

    whatquestion were they answering:that they really believe it madetheir hair

    any cleaner than adifferent shampoo, or that theypreferred the smell, or

    shape ofthe bottle?

    18. MATHS IN ENGINEERING

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    If it is rainy and cold outside, you will be happy to stay at home a

    while longer and have a nice hot cup of tea. But someone has built the

    house you are in, made sure it keeps the cold out and the warmth in, and

    provided you with running water for the tea. This someone is most likely an

    engineer. Engineers are responsible for just about everything we take for

    granted in the world around us, from tall buildings, tunnels and football

    stadiums, to access to clean drinking water. They also design and build

    vehicles, aircraft, boats and ships. Whats more, engineers help to develop

    things which are important for the future, such as generating energy from

    the sun, wind or waves. Maths is involved in everything an engineer does,

    whether it is working out how much concrete is needed to build a bridge, or

    determining the amount of solar energy necessary to power a car.

    19. GEOMETRY IN CIVIL

    This a pictures with some basic geometric structures. This is a

    modern reconstruction of the English Wigwam. As you can there the door

    way is a rectangle, and the wooden panels on the side of the house are

    made up of planes and lines. Except for really planes can go on forever.

    The panels are also shaped in the shape of squares. The house itself is

    half a cylinder.

    20. LINES&PLANES

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    Here is another modern reconstruction if of a English Wigwam.

    This house is much similar to the one before. It used a rectangle as a

    doorway, which is marked with the right angles. The house was made with

    sticks which was straight lines at one point. With the sticks in place they

    form squares when they intercepts. This English Wigwam is also half a

    cylinder.

    21. PARALLELOGRAMS

    This is a modern day skyscraper at MIT. The openings and

    windows are all made up of parallelograms. Much of them are rectangles

    and squares. This is a parallelogram kind of building.

    22. CUBES AND CONES

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    This is the Pyramids, in Indianapolis. The pyramids are made up ofpyramids, of course, and squares. There are also many 3D geometric

    shapes in these pyramids. The building itself is made up of a pyramid, the

    windows a made up of tinted squares, and the borders of the outside walls

    and windows are made up of 3D geometric shapes.

    25. RECTANGLES AND CIRCLES

    This is a Chevrolet SSR Roadster Pickup. This car is built with

    geometry. The wheels and lights are circles, the doors are rectangular

    prisms, the main area for a person to drive and sit in it a half a sphere with

    the sides chopped off which makes it 1/4 of a sphere. If a person wouldlook very closely the person would see a lot more shapes in the car. Too

    many to list.

    GEOMETRY IN CAD

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    Geometry is a part of mathematics concerned with questions of

    size, shape, and relative position of figures and with properties of space.

    Geometry is one of the oldest sciences

    Computer-aided design, computer-aided geometric design.

    Representing shapes in computers, and using these descriptions to create

    images, to instruct people or machines to build the shapes, etc. (e.g. the

    hood of a car, the overlay of parts in a building construction, even parts of

    computer animation).26.

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    27. Computer graphics is based on geometry - how images are

    transformed when viewed in various ways.Robotics. Robotic vision,

    planning how to grasp a shape with a robot arm, or how to move a large

    shape without collission.

    28. STRUCTURAL ENGINEERING

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    Structural engineering. What shapes are rigid or flexible, how they

    respond to forces and stresses. Statics (resolution of forces) is essentially

    geometry. This goes over into all levels of design, form, and function of

    many things.

    29. MATHS IN MEDICINE

    Medical imaging - how to reconstruct the shape of a tumor from

    CAT scans, and other medical measurements. Lots of new geometry and

    other math was (and still is being) developed for this. Protein modeling.

    Much of the function of a protein is determined by its shape and how the

    pieces move. Mad Cow Disease is caused by the introduction of a shape

    into the brain (a shape carried by a protein). Many drugs are designed to

    change the shape or motions of a protein - something that we are just now

    working to model, even approximately, in computers, using geometry and

    related areas (combinatorics, topology).

    Symmetry is a central concept of many studies in science - and

    also the central concept of modern studies of geometry. Students struggle

    in university science if they are not able to detect symmetries of an object

    (molecule in stereo chemistry, systems of laws in physics, ... ). the study of

    transformations and related symmetries has been, since 1870s the definingcharacteristic of geometric studies Physics, chemistry, biology, 30.

    MATHS IN BIOLOGY

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    Music theorists often use mathematics to understand musical

    structure and communicate new ways of hearing music. This has led to

    musical applications of set theory, abstract algebra, and number theory.

    Music scholars have also used mathematics to understand musical scales,

    and some composers have incorporated the Golden ratio and Fibonacci

    numbers into their work.31. MATHS IN MUSIC

    If we take the ratios constituting a scale in just intonation, there

    will be a largest prime number to be found among their prime

    factorizations. This is called the prime limit of the scale. A scale which usesonly the primes 2, 3 and 5 is called a 5-limit scale; in such a scale, all tones

    are regular number harmonics of a single fundamental frequency. Below is

    a typical example of a 5-limit justly tuned scale, one of the scales Johannes

    Kepler presents in his Harmonice Mundi or Harmonics of the World of

    1619, in connection with planetary motion. The same scale was given in

    transposed form by Alexander Malcolm in 1721 and theorist Jose

    Wuerschmidt in the last century and is used in an inverted form in the

    music of northern India. American composer Terry Riley also made use of

    the inverted form of it in his "Harp of New Albion". Despite this impressive

    pedigree, it is only one out of large number of somewhat similar

    scales.32. INTONATION

    33. MATHS IN FORENSICMATHS IS APLLIED TO CLARIFY

    THEBLURRED IMAGE TO CLEAR IMAGE.THIS IS DONE BY

    USINGDIFFERENTIAL AND INTEGRALCALCULUS

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